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Finding the Fourth Proportional to 354,507.49, 531,317.76 and 177,064.03

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Solution

The fourth proportional to 354,507.49, 531,317.76 and 177,064.03 is: 265,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,507.49 : 531,317.76 = 177,064.03 : x
  2. Step 2: Convert to fraction form
    354,507.49/531,317.76 = 177,064.03/x
  3. Step 3: Cross multiply
    354,507.49x = 531,317.76 × 177,064.03
  4. Step 4: Simplify right side
    354,507.49x = 94,077,262,910.85
  5. Step 5: Solve for x
    x = 94,077,262,910.85/354,507.49
  6. Step 6: Final answer
    x = 265,374.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.